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Finding the Third Proportional to 5,019 and 8,017

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Solution

The third proportional to 5,019 and 8,017 is: 12,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019 : 8,017 = 8,017 : x
  2. Step 2: Convert to fraction form
    5,019/8,017 = 8,017/x
  3. Step 3: Cross multiply
    5,019x = 8,017 × 8,017
  4. Step 4: Simplify right side
    5,019x = 64,272,289
  5. Step 5: Solve for x
    x = 64,272,289/5,019
  6. Step 6: Final answer
    x = 12,805.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.